Question

You need to cover the playground of a child development center with mulch. The playground is 125 feet long and 60 feet wide. You want the mulch to be at least 6 inches deep. Solve for the cubic yards of mulch that should've delivered. Round your answer to the nearest whole number.

A.) 75
B.) 139
C.) 25,250
D.) 45,000

Answer 1

Given:
Length of the playground: 125 ft
Width of the playground: 60 ft
Depth of the mulch: 6 inches

Convert ft and inches to yards

1 yard = 3 feet

Length: 125ft/3ft = 41.67 yd
Width: 60ft/3ft = 20 yd

1 ft = 12 inches
Depth: 6 inches * 1ft/12inches = 6ft/12 = 1/2 ft
Depth: 0.5 ft * 1yd/3ft = 0.5yd/3 = 0.17 yd

Volume = Length * Width * Depth
V = 41.67yd * 20yd * 0.17yd
V = 141.68 yd³

V = 125ft * 60ft * 0.5ft
V = 3,750 ft³

1 cubic yard = 27 cubic feet

3,750ft³ * 1yd³/27ft³ = 3,750 yd³ / 27 = 138.89 or 139 yd³  LETTER B.